XY = [
0 0
0.0588235 0.0588235
0.117647 0.117647
0.176471 0.176471
0.235294 0.235294
0.294118 0.294118
0.352941 0.352941
0.411765 0.411765
0.470588 0.470588
0.529412 0.529412
0.588235 0.588235
0.647059 0.647059
0.705882 0.705882
0.764706 0.764706
0.823529 0.823529
0.882353 0.882353
0.941176 0.941176
];
[X, Y] = meshgrid(XY(:,1), XY(:,2));
U = [0.0908172 0.0528755 0.00863976 -0.0363534 -0.0762803 -0.105825 -0.121033 -0.119871 -0.102507 -0.0712924 -0.0304452 0.0145155 0.0575174 0.0927495 0.115463 0.122549 0.113151 
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0.292003 0.174846 0.0328916 -0.114547 -0.247353 -0.347351 -0.400777 -0.400182 -0.345489 -0.243963 -0.109301 0.0403755 0.184729 0.304392 0.382937 0.409996 0.381753 
0.649711 0.386134 0.0696507 -0.257027 -0.54985 -0.769235 -0.88542 -0.88253 -0.760772 -0.53641 -0.239634 0.0895827 0.406802 0.66918 0.841404 0.899707 0.837154 
0.668282 0.395867 0.0700535 -0.265339 -0.565318 -0.789556 -0.907847 -0.904192 -0.778996 -0.549035 -0.245222 0.0915062 0.415857 0.683882 0.85989 0.919048 0.855023 
0.338021 0.198965 0.0338894 -0.135149 -0.285697 -0.397733 -0.456375 -0.453863 -0.390602 -0.275142 -0.122983 0.0453393 0.207352 0.340944 0.428747 0.457794 0.425737 
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-0.446406 -0.263444 -0.0455864 0.17798 0.377437 0.526141 0.604226 0.601265 0.517682 0.364715 0.162895 -0.0606071 -0.275884 -0.4537 -0.570731 -0.609989 -0.567938 
0.0396116 0.0252677 0.00634615 -0.0143962 -0.0338588 -0.0491173 -0.0578182 -0.0585385 -0.0510149 -0.036147 -0.0159639 0.00685442 0.0289766 0.0476128 0.0596248 0.0641909 0.059628 
0.504965 0.300835 0.0550254 -0.199217 -0.42749 -0.598814 -0.689831 -0.687995 -0.593327 -0.418391 -0.186713 0.0705707 0.318619 0.524062 0.658921 0.704988 0.656222 
0.706574 0.419049 0.0747237 -0.280087 -0.59772 -0.835391 -0.960994 -0.957451 -0.825075 -0.581529 -0.259531 0.0976156 0.441796 0.726518 0.913618 0.977004 0.909491 
0.539877 0.319452 0.0560882 -0.214724 -0.456716 -0.637454 -0.732703 -0.729665 -0.628724 -0.44341 -0.19859 0.0728011 0.334381 0.550687 0.693164 0.741361 0.690596 
];
figure;
plot3(X,Y,U,'.b','MarkerSize',5);
title('N = 16');
XY = [
0 0
0.030303 0.030303
0.0606061 0.0606061
0.0909091 0.0909091
0.121212 0.121212
0.151515 0.151515
0.181818 0.181818
0.212121 0.212121
0.242424 0.242424
0.272727 0.272727
0.30303 0.30303
0.333333 0.333333
0.363636 0.363636
0.393939 0.393939
0.424242 0.424242
0.454545 0.454545
0.484848 0.484848
0.515152 0.515152
0.545455 0.545455
0.575758 0.575758
0.606061 0.606061
0.636364 0.636364
0.666667 0.666667
0.69697 0.69697
0.727273 0.727273
0.757576 0.757576
0.787879 0.787879
0.818182 0.818182
0.848485 0.848485
0.878788 0.878788
0.909091 0.909091
0.939394 0.939394
0.969697 0.969697
];
[X, Y] = meshgrid(XY(:,1), XY(:,2));
U = [0.237623 0.197925 0.151113 0.0988711 0.0430645 -0.0142942 -0.0711332 -0.125399 -0.175132 -0.218534 -0.254037 -0.280358 -0.296546 -0.302016 -0.29657 -0.280405 -0.254106 -0.218622 -0.175237 -0.125518 -0.0712628 -0.0144317 0.0429209 0.0987223 0.150956 0.197733 0.237364 0.268416 0.289766 0.300644 0.300656 0.289799 0.268471 
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0.624638 0.52054 0.397608 0.260286 0.113542 -0.0373254 -0.186862 -0.329664 -0.46057 -0.574846 -0.66836 -0.737731 -0.78045 -0.794968 -0.78076 -0.738336 -0.669228 -0.57593 -0.461814 -0.331002 -0.188221 -0.0386308 0.112363 0.259303 0.396878 0.520115 0.624561 0.706439 0.762789 0.791574 0.791755 0.763314 0.707293 
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];
figure;
plot3(X,Y,U,'.b','MarkerSize',5);
title('N = 32');
XY = [
0 0
0.0153846 0.0153846
0.0307692 0.0307692
0.0461538 0.0461538
0.0615385 0.0615385
0.0769231 0.0769231
0.0923077 0.0923077
0.107692 0.107692
0.123077 0.123077
0.138462 0.138462
0.153846 0.153846
0.169231 0.169231
0.184615 0.184615
0.2 0.2
0.215385 0.215385
0.230769 0.230769
0.246154 0.246154
0.261538 0.261538
0.276923 0.276923
0.292308 0.292308
0.307692 0.307692
0.323077 0.323077
0.338462 0.338462
0.353846 0.353846
0.369231 0.369231
0.384615 0.384615
0.4 0.4
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0.456689 0.423137 0.385635 0.344539 0.300228 0.253115 0.203639 0.152263 0.0994663 0.0457412 -0.00841061 -0.0624836 -0.115973 -0.168379 -0.219214 -0.268001 -0.314286 -0.357637 -0.397649 -0.433948 -0.466196 -0.494091 -0.517373 -0.535824 -0.549273 -0.557594 -0.560709 -0.558589 -0.551254 -0.538772 -0.52126 -0.498881 -0.471845 -0.440403 -0.40485 -0.365516 -0.322771 -0.277011 -0.228666 -0.178186 -0.126042 -0.072721 -0.0187215 0.0354528 0.089296 0.142306 0.193986 0.243856 0.291449 0.33632 0.378052 0.416253 0.450569 0.480677 0.506298 0.527192 0.543163 0.554063 0.55979 0.560291 0.55556 0.545642 0.53063 0.510662 0.485925 
];
figure;
plot3(X,Y,U,'.b','MarkerSize',5);
title('N = 64');
E = [0.0144725,0.00110599,7.84959e-005 
];
figure;
plot(log2(E),'o-');
title('Convergence rate');
T = [77.072,396.022,2955.74];
figure;
plot(T,'o-');
title('Time');
